A projection method for locally refined grids
- New York Univ., New York, NY (United States)
A numerical method for the solution of the two-dimensional Euler equations for incompressible flow on locally refined grids is presented. The method is a second-order Godunov-projection method adapted from Bell, Colella, and Glaz. Second-order accuracy of the numerical method in time and space is established through numerical experiments. The main contributions of this work concern the formulation and implementation of a projection for refined grids. A discussion of the adjointness relation between gradient and divergence operators for a refined grid MAC projection is presented, and a refined grid approximate projection is developed. An efficient multigrid method which exactly solves the projection is developed, and a method for casting certain approximate projections as MAC projections on refined grids is presented. 35 refs., 9 figs., 4 tabs.
- DOE Contract Number:
- FG02-92ER25139; AC03-76SF00098; W-7405-ENG-36
- OSTI ID:
- 478428
- Journal Information:
- Journal of Computational Physics, Vol. 127, Issue 1; Other Information: PBD: Aug 1996
- Country of Publication:
- United States
- Language:
- English
Similar Records
Moving Overlapping Grids with Adaptive Mesh Refinement for High-Speed Reactive and Non-reactive Flow
Block-structured adaptive mesh refinement algoritm for diffusion radiation